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Finding the Fourth Proportional to 11,563.68, 17,346.69 and 3,243.72

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Solution

The fourth proportional to 11,563.68, 17,346.69 and 3,243.72 is: 4,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.68 : 17,346.69 = 3,243.72 : x
  2. Step 2: Convert to fraction form
    11,563.68/17,346.69 = 3,243.72/x
  3. Step 3: Cross multiply
    11,563.68x = 17,346.69 × 3,243.72
  4. Step 4: Simplify right side
    11,563.68x = 56,267,805.29
  5. Step 5: Solve for x
    x = 56,267,805.29/11,563.68
  6. Step 6: Final answer
    x = 4,865.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.